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Finding the Fourth Proportional to 23,922.31, 33,013.70 and 13,311.72

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Solution

The fourth proportional to 23,922.31, 33,013.70 and 13,311.72 is: 18,370.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,922.31 : 33,013.70 = 13,311.72 : x
  2. Step 2: Convert to fraction form
    23,922.31/33,013.70 = 13,311.72/x
  3. Step 3: Cross multiply
    23,922.31x = 33,013.70 × 13,311.72
  4. Step 4: Simplify right side
    23,922.31x = 439,469,130.56
  5. Step 5: Solve for x
    x = 439,469,130.56/23,922.31
  6. Step 6: Final answer
    x = 18,370.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.